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3 years ago

Solve the simultaneous equation 4x-y=9 2x-3y= -23

Mathematics

1 answer:

MrMuchimi3 years ago

4 0

Answer:

x = 5

y = 11

Step-by-step explanation:

y = 4x - 9

2x -3(4x - 9) = -23

2x - 12x + 27 = -23

-10x = -23 -27

-10x = -50

minus cancels out

x = 5

y = 4(5) -9

y = 20 - 9

y = 11

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How to factor -2 out of -6x+10

KIM [24]

Just divide -6x+10 by -2 and take out what's common.

-6x divided by -2 would be 3x.
10 divided by -2 would be -5.

So the answer is -2(3x-5).

$\sf\ Answer: -2(3x-5)$

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4 years ago

Eighteen less than three times a number is twice the number. Write and solve

goblinko [34]

Answer:

The number is 18

Step-by-step explanation:

You can write an equation to represent this. Let x represent the unknown number.

3x - 18 = 2x

Move 2x to the left side. Remember, "change the side, change the sign." Add 0 as a placeholder to the right of the equals sign.

3x - 2x - 18 = 0

Simplify like terms.

x - 18 = 0

Move -18 to the right of the equals sign.

x = 18

Now that we know x = 18, we can substitute it into the problem.

"Eighteen less than three times 18 is two times 18."

18 x 3 = 54

54 - 18 = 36

36 is, in fact, two times 18. We can check this by dividing 36 by 2.

36 ÷ 2 = 18

8 0

3 years ago

Find the value of p if x3 ÷ xp = x5

Soloha48 [4]

Let's solve for p.

x3xp=x5

Step 1: Divide both sides by x^2.

px2x2=x5x2

p=x3

Answer:

p=x3

4 0

3 years ago

Write the polar coordinates (3, pi) in rectangular form. a. (0, 3) c. (-3, 0) b. (3, 0) d. (0, -3)

Misha Larkins [42]

In rectangular form, we have the coordinates $(3\cos\pi,3\sin\pi)=(3\cdot -1,3\cdot 0)=\boxed{(-3,0)}.$

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3 years ago

What is the surface area of a cone that has a radius of 8 feet and a slant height of 12 feet? (Use 3.14 for π.)

kodGreya [7K]

Answer:

Surface area of cone is $502.4\ ft^2$

Step-by-step explanation:

Given:

radius of a cone (r) = 8 feet

slant height of cone (l) = 12 feet

We need to find the surface area of cone.

Total surface area of cone = Area of circle $+$ Area of curved surface

Now we know that,

Area of circle = $\pi r^2$

Area of curved surface = $\pi rl$

Hence Total surface area of cone = $\pi r^2+\pi rl=\pi r(r+l) = 3.14 \times 8 (8+12)=3.14\times8\times20= 502.4 \ ft^2$

Surface area of cone is $502.4\ ft^2$ .

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3 years ago